the Bochner integral for \(\mathcal {B}\) . The right-hand side of this equality is continuous. To shaw that the left-hand side of (1) is continuous, too, we choose an arbitrary point \(z_0\in \mathbb {D}\)  and a compact neighborhood \(U\subset \mathbb {D}\)  of \(z_0\) . By [1]} we have
\(|f(w)|\le |f(w)-f(0)|+|f(0)|\le \Vert f\Vert _{\mathcal {B}}\beta (0,w)+|f(0)|,\) 
